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33121110030 = 23517499130147
BaseRepresentation
bin11110110110001011…
…000000100000001110
310011111021012201102220
4132312023000200032
51020313001010110
623114324200210
72251525535001
oct366613004016
9104437181386
1033121110030
1113057004208
126504239066
13317aba1878
141862b79538
15cdcb42370
hex7b62c080e

33121110030 has 64 divisors (see below), whose sum is σ = 84335904000. Its totient is φ = 8296026624.

The previous prime is 33121109977. The next prime is 33121110053. The reversal of 33121110030 is 3001112133.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 33121109991 and 33121110009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189417 + ... + 319563.

It is an arithmetic number, because the mean of its divisors is an integer number (1317748500).

Almost surely, 233121110030 is an apocalyptic number.

33121110030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33121110030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42167952000).

33121110030 is an abundant number, since it is smaller than the sum of its proper divisors (51214793970).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33121110030 is a wasteful number, since it uses less digits than its factorization.

33121110030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130673.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 33121110030 its reverse (3001112133), we get a palindrome (36122222163).

The spelling of 33121110030 in words is "thirty-three billion, one hundred twenty-one million, one hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 499 510 998 1497 2495 2994 4990 7485 8483 14970 16966 25449 42415 50898 84830 127245 130147 254490 260294 390441 650735 780882 1301470 1952205 2212499 3904410 4424998 6637497 11062495 13274994 22124990 33187485 64943353 66374970 129886706 194830059 324716765 389660118 649433530 974150295 1104037001 1948300590 2208074002 3312111003 5520185005 6624222006 11040370010 16560555015 33121110030